One example is:

Heads 1 | Heads 2 | Heads 3 | Heads 4 | Heads 5 | Heads 6 |

Tails 1 | Tails 2 | Tails 3 | Tails 4 | Tails 5 | Tails 6 |

There are 6 possible die outcomes each having a further 2 coin outcomes, giving a combined outcome of 12 possibilities. Therefore the probability of throwing a six and 'heads' is one outcome in twelve: . If the problem was changed to the possibility of throwing an odd number and 'tails', the table will show that this may occur 3 times, (1 tails, 3 tails, 5 tails) out of twelve outcomes, and therefore the probability is reduces to 312, or .

Another example is:

In a drawer, there are some white socks and some black socks. Tim takes out one sock and then a second. Draw a tree diagram to show the possible outcomes.

Example 10 Solution:

When you gave the example with the table, you did not describe the scenario first, so it is confusing and harder to understand. Am i correct in saying that the scenario is: Tossing 1 coin and 1 die at the same time?

ReplyDeleteThe examples don't really seem to show what a combined event is, only showing how to calculate probability.

ReplyDeleteGood Examples and Diagrams But so does the 2 tosses have to be the sam thing like a 2 coins or can it be two different things. Because having 2 different things will change the fairness of the experiment.

ReplyDeleteKind of confusing this is. Maybe you can elaborate moar?

ReplyDeleteWell done! Good description which helps me understand combined events. A different example may work better.

ReplyDeleteWhat is the first table about? please state the scenario and you could explain what are combined events and how arethe examples given is an example of combined events?

ReplyDeleteFor the table, you need to have the another top row and another row on the left and list out the stuff before showing the results like the first picture.

ReplyDeleteMaybe you could elaborate on how you formed the table

ReplyDeleteNeeds an elaboration on the first table however generally very detailed

ReplyDeleteWhat was the scenario like in the first example? The probabilities are shown but are the coins thrown at the same time?

ReplyDeleteYou could have explained your own example so as to allow us to understand better

ReplyDeleteThe explanation is quite good but it would help if it was explained in the context of the example given.

ReplyDeleteWhat was the scenario in the first given example? Maybe you have stated that.

ReplyDelete